Finding the Third Proportional to 85,024 and 185,357

Step by Step Solution

1. Step 1: Write the proportion equation
   85,024 : 185,357 = 185,357 : x
2. Step 2: Convert to fraction form
   85,024/185,357 = 185,357/x
3. Step 3: Cross multiply
   85,024x = 185,357 × 185,357
4. Step 4: Simplify right side
   85,024x = 34,357,217,449
5. Step 5: Solve for x
   x = 34,357,217,449/85,024
6. Step 6: Final answer
   x = 404,088.46